1. Assume that the data has a normal distribution and the number of observations is greater than fifty. Find the critical z value used to test a null hypothesis.

Alpha = 0.09 for a right-tailed test. (Points : 5)

±1.96

1.34

±1.34

1.96

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1. assume that the data has a normal distribution and the number of

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2. Find the value of the test statistic z using z = W4Q3

The claim is that the proportion of drowning deaths of children attributable to beaches is more than 0.25, and the sample statistics include n = 681 drowning deaths of children with 30% of them attributable to beaches. (Points : 5)

3.01

2.85

-2.85

-3.01

3. Use the given information to find the P-value. Also, use a 0.05 significance level and state the conclusion about the null hypothesis (reject the null hypothesis or fail to reject the null hypothesis). |

4. Use the given information to find the P-value. Also, use a 0.05 significance level and state the conclusion about the null hypothesis (reject the null hypothesis or fail to reject the null hypothesis). |

5. Formulate the indicated conclusion in nontechnical terms. Be sure to address the original claim. |

6. Assume that a hypothesis test of the given claim will be conducted. Identify the type I or type II error for the test. |

7. Find the P-value for the indicated hypothesis test. |

8. Find the P-value for the indicated hypothesis test. |

9. Find the critical value or values of CRitVALX2 based on the given information.

H1: sigma > 3.5

n = 14

Alpha= 0.05 (Points : 5)

22.362

5.892

24.736

23.685

10. Find the critical value or values of CritVALX2 based on the given information. |

11. Find the number of successes x suggested by the given statement. |

12. Assume that you plan to use a significance level of alpha = 0.05 to test the claim that p1 = p2, Use the given sample sizes and numbers of successes to find the pooled estimate p-bar Round your answer to the nearest thousandth. |

13. Assume that you plan to use a significance level of alpha = 0.05 to test the claim that p1 = p2. Use the given sample sizes and numbers of successes to find the z test statistic for the hypothesis test. |

14. Solve the problem. The table shows the number of smokers in a random sample of 500 adults aged 20-24 and the number of smokers in a random sample of 450 adults aged 25-29. Assume that you plan to use a significance level of alpha = 0.10 to test the claim that P1not =P2Find the critical value(s) for this hypothesis test. Do the data provide sufficient evidence that the proportion of smokers in the 20-24 age group is different from the proportion of smokers in the 25-29 age group? |

15. Assume that you plan to use a significance level of alpha = 0.05 to test the claim that p1 = p2. Use the given sample sizes and numbers of successes to find the P-value for the hypothesis test. |

16. Construct the indicated confidence interval for the difference between population proportions p1 – p2. Assume that the samples are independent and that they have been randomly selected. |

17. Construct the indicated confidence interval for the difference between the two population means. Assume that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal. |

18. State what the given confidence interval suggests about the two population means. |

19. Construct the indicated confidence interval for the difference between the two population means. Assume that the two samples are independent simple random samples selected from normally distributed populations. Also assume that the population standard deviations are equal (sigma1 = sigma2), so that the standard error of the difference between means is obtained by pooling the sample variances. |

20. The two data sets are dependent. Find d-Bar to the nearest tenth. |

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